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Robust H$_{\infty}$ Control Method for Bilinear Systems  

Kim, Beom-Soo (School of Electrical Engineering, Korea University)
Lim, Myo-Taeg (Department of Electrical Engineering, Korea University)
Publication Information
International Journal of Control, Automation, and Systems / v.1, no.2, 2003 , pp. 171-177 More about this Journal
Abstract
In this paper, we investigate a robust $H_{\infty}$ state feedback control technique for continuous time bilinear systems with an additive disturbance input. The nonlinear robust $H_{\infty}$control for bilinear systems requires a solution to the state dependent algebraic Riccati equation (SDARE). We present a new robust $H_{\infty}$control technique based on the successive approximation method for solving the SDARE by converting bilinear systems into time-varying linear systems. The proposed control method guarantees robust stability for closed loop bilinear systems. The proposed algorithm is verified by numerical examples.
Keywords
Robust control; $H_{\infty}$ control; bilinear systems; optimal control; successive approximation;
Citations & Related Records

Times Cited By SCOPUS : 1
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